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Finding the Fourth Proportional to 9,753.36, 14,617.62 and 4,547.76

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Solution

The fourth proportional to 9,753.36, 14,617.62 and 4,547.76 is: 6,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.36 : 14,617.62 = 4,547.76 : x
  2. Step 2: Convert to fraction form
    9,753.36/14,617.62 = 4,547.76/x
  3. Step 3: Cross multiply
    9,753.36x = 14,617.62 × 4,547.76
  4. Step 4: Simplify right side
    9,753.36x = 66,477,427.53
  5. Step 5: Solve for x
    x = 66,477,427.53/9,753.36
  6. Step 6: Final answer
    x = 6,815.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.